Cathode and lithium battery using the same
10326160 ยท 2019-06-18
Assignee
Inventors
- Myung-hoon Kim (Seoul, KR)
- Kyu-sung Park (Suwon-si, KR)
- Min-sik Park (Hwaseong-si, KR)
- Jin-Hwan Park (Seoul, KR)
Cpc classification
C01G45/1228
CHEMISTRY; METALLURGY
C01P2004/82
CHEMISTRY; METALLURGY
C01P2004/61
CHEMISTRY; METALLURGY
H01M4/485
ELECTRICITY
Y02P70/50
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
H01M4/525
ELECTRICITY
C01P2004/62
CHEMISTRY; METALLURGY
H01M4/505
ELECTRICITY
Y02E60/10
GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
H01M4/131
ELECTRICITY
C01G45/1264
CHEMISTRY; METALLURGY
C01P2002/72
CHEMISTRY; METALLURGY
H01M10/0525
ELECTRICITY
International classification
H01M4/525
ELECTRICITY
C01G45/12
CHEMISTRY; METALLURGY
H01M4/505
ELECTRICITY
H01M4/36
ELECTRICITY
H01M10/0525
ELECTRICITY
H01M4/485
ELECTRICITY
Abstract
A cathode and a battery including a cathode active material including a layer-structured material having a composition of xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2; and a metal oxide having a perovskite structure. The cathode active material may have improved structural stability by intermixing a metal oxide having a similar crystalline structure with the layer-structured material, and thus, life and capacity characteristics of a cathode and a lithium battery including the metal oxide may be improved.
Claims
1. A lithium battery comprising: an anode; an organic electrolyte solution; and a cathode comprising a cathode active material formed on a surface of a current collector, wherein the cathode active material comprises: a layer-structured material having a composition of xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2, wherein 0<x <1, and M and Me are each a metal ion; and a metal oxide having a perovskite structure, wherein the metal oxide has a composition of ABO.sub.3; wherein A includes one or more of Group 2 elements or rare earth elements; wherein A is at least one of lanthanum, strontium, barium, or calcium; and wherein B includes one or more transition metals; and wherein B includes one or more elements selected from the group consisting of V, Cr, Mg, and Cu.
2. The lithium battery of claim 1, wherein Me is one or more transition metals.
3. The lithium battery of claim 1, wherein M is one or more of aluminum (Al), gallium (Ga), germanium (Ge), magnesium (Mg), niobium (Nb), zinc (Zn), cadmium (Cd), titanium (Ti), cobalt (Co), nickel (Ni), potassium (K), sodium (Na), calcium (Ca), silicon (Si), iron (Fe), copper (Cu), tin (Sn), vanadium (V), boron (B), phosphorus (P), selenium (Se), bismuth (Bi), arsenic (As), zirconium (Zr), manganese (Mn), chromium (Cr), strontium (Sr), scandium (Sc), yttrium (Y), or rare earth elements.
4. The lithium battery of claim 1, wherein the metal oxide is at least one from LaMgO.sub.3, SrMgO.sub.3, BaMgO.sub.3, and CaMgO.sub.3.
5. The lithium battery of claim 1, wherein the metal oxide has a concentration of about 0.01 mol % to about 1 mol % based on 1 mol of the layer-structured material.
6. The lithium battery of claim 1, wherein A and B are each a metal ion.
7. The lithium battery of claim 1, wherein the layer-structured material and the metal oxide form a complex.
8. The lithium battery of claim 1, wherein the metal oxide is intermixed in a crystalline structure of the layer-structured material.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) These and/or other aspects and advantages of the invention will become apparent and more readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
(2)
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DETAILED DESCRIPTION
(8) Reference will now be made in detail to the present embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to the like elements throughout. The embodiments are described below in order to explain the present invention by referring to the figures.
(9) A cathode active material according to an embodiment of the present invention may include a layer-structured material having a composition of xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2; and a metal oxide having a perovskite structure, in which, 0<x<1, and M and Me are each a metal ion.
(10) A xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2 (0x1; M, Me=a metal ion) complex system, which is one of the high-capacity cathode active materials of the next generation, is generally composed of Li.sub.2MO.sub.3 and a layer-structured complex of LiMeO.sub.2. Excess lithium exists as a substituted form in the transition metal layer. The complex system should be charged at about 4.5 V (vs. Li), or higher, in order to achieve a high capacity, and thus stability at high voltages is important. The complex consists of the structure xLi.sub.2MO.sub.3-(1-x)MeO.sub.2 during an initial charge cycle of up to 4.4 V due to lithium deintercalation from LiMeO.sub.2 and forms the structure (x-)Li.sub.2MO.sub.3-MeO.sub.2-(1-x)MO.sub.2 along with Li.sub.2O at 4.4 V or higher. That is, at 4.4 V or higher, Li.sub.2O is formed due to lithium and oxygen deintercalation from Li.sub.2MO.sub.3 at the same time and MO.sub.2 is also produced. The description above is represented in Chemical Equation 1.
Li.sub.2MO.sub.3->xLi.sub.2O+yMO.sub.2+(1-x-y)Li.sub.2MO.sub.3, in which, M is a metal ion, 0x1, and 0y1<Chemical Equation 1>.
(11) In the reaction above, the remaining content of Li.sub.2MnO.sub.3 is determined according to a cut-off voltage of charge, and thus, if the cut-off voltage is increased for high-capacity utilization, then the remaining content of Li.sub.2MnO.sub.3 decreases. Compositions of Li.sub.2MnO.sub.3 serve to stabilize the structure of the complex. Therefore, when the cut-off voltage is increased, the remaining content of Li.sub.2MnO.sub.3 decreases, and as a result, there is a high possibility for the complex to become structurally unstable.
(12) According to an embodiment of the present invention, the charge-discharge efficiency may be increased, and life characteristics may be improved during high-voltage charge by using a perovskite-based metal oxide, for example an ABO.sub.3-based material, where A and B are each identical or different metal ions, as a stabilizer phase material that may maintain the structure of the complex at a charged state.
(13) The metal oxide, which is the stabilizer phase material, has a stable crystalline structure, has a conductivity of lithium ions, and has a perovskite structure compatible with the layer-structured material which has the composition of xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2. The crystalline structure of the metal oxide is of similar type to the layer-structured material, which may improve stability of the layer-structured material without hindering free movements of lithium ions in a cathode material.
(14) The cathode active material, including the stabilizer phase material as described above, may include a complex material including the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material having a layered structure, wherein 0<x<1, and M and Me are each a metal ion; and the metal oxide having a perovskite structure.
(15) An example of the metal oxide having a perovskite structure includes the ABO.sub.3-based material, wherein A and B are metal ions. A may include one or more Group 2 elements or rare earth elements. A may further include one or more of lanthanum (La), strontium (Sr), barium (Ba), and calcium (Ca). B may include one or more transition metals. B may further include one or more of titanium (Ti), vanadium (V), chrome (Cr), manganese (Mn), iron (Fe), cobalt (Co), nickel (Ni), magnesium (Mg), or copper (Cu).
(16) In the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material, M is a metal ion which may include one or more of aluminum (Al), gallium (Ga), germanium (Ge). Mg, niobium (Nb), zinc (Zn), cadmium (Cd), Ti, Co, Ni, potassium (K), sodium (Na), Ca, silicon (Si), Fe, Cu, tin (Sn), V, boron (B), phosphorus (P), selenium (Se), bismuth (Bi), arsenic (As), zirconium (Zr), Mn, Cr, Sr, scandium (Sc), yttrium (Y), or rare earth elements. For example, M may include at least Mn.
(17) In the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material, Me may include one or transition metals. Me may further include one or more of Ti, V, Cr, Mn, Fe, Co, Ni, or Cu.
(18) The ABO.sub.3-based material, which is a metal oxide having a perovskite structure, may be in the ratio of about 0.01 mol % to about 1 mol %, for example, about 0.01 mol % to about 0.1 mol % based on 1 mol of the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material. Sufficient stability may be provided during high-voltage charge of the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material within the ranges above.
(19) A material including the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material having a layered structure and the metal oxide having a perovskite structure forms a complex. Furthermore, the metal oxide having a perovskite structure may be intermixed into the crystalline structure of the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material.
(20) The average diameter of the complex including both the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material having a layered structure and the metal oxide having a perovskite structure may be from about 0.1 m to about 10 m, for example, from about 0.2 m to about 3 m.
(21) The complex including both the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material having a layered structure and the metal oxide having a perovskite structure may be obtained by using a combustion Synthesis method. The combustion synthesis method may be any known method commonly used in the art.
(22) An example of the combustion synthesis method for obtaining the complex may include heating the solution that is formed by dissolving a precursor of each metal composition for a desired time to remove a polymer composition.
(23) A lithium battery according to another embodiment includes a cathode, an anode, and an electrolyte solution, in which the cathode includes a complex material including the layer-structured material having the composition of xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2 (in which, x, M, and Me are as defined above) and the metal oxide having a perovskite structure.
(24) The type of the lithium battery is not limited and may include, for example, a secondary lithium battery, such as a lithium ion battery, a lithium-ion polymer battery, or a lithium-sulfur battery, and a primary lithium battery.
(25) The cathode includes a current collector and a cathode active material layer formed on the current collector. In order to form the cathode, a cathode active material composition is prepared by mixing a cathode active material, that includes a complex material including both the xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2-based material having a layered structure and the metal oxide having the perovskite structure, a conducting agent, a binder, and a solvent.
(26) A cathode plate may be manufactured by forming the cathode active material layer by directly coating the cathode active material composition on an aluminum current collector and drying. Alternatively, the cathode active material layer is formed by casting the cathode active material composition on a separate support, delaminating a film obtained from the support, and laminating the film on the current collector. The cathode manufacturing methods above are known in the art.
(27) For the solvent, N-methylpyrrolidone, acetone, or water may be used, but the solvent is not limited thereto.
(28) The binder included in the cathode active material layer serves to attach cathode active material particles to one another and attach the cathode active material to the current collector. Examples of the binder include polyvinyl alcohol, carboxymethyl cellulose, hydroxypropyl cellulose, diacetyl cellulose, polyvinyl chloride, carboxylated polyvinyl chloride, polyvinyl fluoride, polymer including ethylene oxide, polyvinylpyrrolidone, polyurethane, polytetrafluoroethylene, polyvinylidene fluoride (PVDF), polyethylene, polypropylene, styrene-butadiene rubber, acrylated styrene-butadiene rubber, epoxy resin, or nylon, but is not limited thereto.
(29) The conducting agent included in the cathode active material is used to induce conductivity of an electrode. This may include any electronic conductive material that does not cause chemical change in the construction of a battery. An example of the conductor may be a carbon-based material such as natural graphite, artificial graphite, carbon black, acetylene black, or carbon fiber; a metal-based material such as metal powder or metal fiber of Cu, Ni, Al, or Ag; a conductive material including a conductive polymer such as polyphenylene derivative; or a mixture thereof.
(30) The current collector may be aluminum, but is not limited thereto.
(31) As the cathode plate is manufactured, an anode active material composition may be manufactured by mixing an anode active material, a conducting agent, a binder, and a solvent. An anode plate may then be manufactured by directly coating the anode active material composition on a copper current collector. Alternatively the anode active material composition is cast on a separate support and then an anode active material film, which is delaminated from the support, is laminated on the copper current collector. Concentrations of the anode active material, the conductor, the binder, and the solvent are at concentrations commonly used in a lithium battery.
(32) The anode active material may be a material capable of intercalating/deintercalating lithium. For example, lithium metal or lithium alloy, coke, artificial graphite, natural graphite, the combusted body of an organic polymer compound, or carbon fiber may be used. Also, materials for the conducting agent, the binder, and the solvent may be the same materials used in the case of the cathode as described above.
(33) Depending on the case, pores may be formed inside the electrode plate by adding a plasticizer to the cathode or anode active material composition.
(34) Depending on the type of lithium battery, a separator between the cathode and the anode may be present. Any separator commonly used in a lithium battery may be used. Particularly, a material with low resistance in regard to electrolyte ion movement and having excellent electrolyte-absorbability is appropriate for the separator. The material may include glass fiber, polyester, polyethylene, polypropylene, polytetrafluoroethylene (PTFE), or a combination thereof, each of which may be a non-woven or woven fabric. For example, a lithium ion battery may include a rollable separator made of materials such as polyethylene or polypropylene, and a lithium ion polymer battery may include a separator with an excellent organic electrolyte solution containing ability.
(35) The separator may be prepared by the following method. A separator film may be formed by preparing a separator composition by mixing a polymer resin, a filler, and a solvent, directly coating the separator composition on the electrode, and drying. Alternatively, the separator may be formed by casting the separator composition on a support, drying, delaminating the separator film from the support, and laminating the separator film on the electrode.
(36) The polymer resin is not particularly limited, and any material used in the field for a binder of an electrode plate may be used. For example, vinylidene fluoride/hexafluoropropylene copolymer, PVDF, polyacrylonitrile, polymethylmethacrylate, or a mixture thereof may be used. Particularly, vinylidene fluoride/hexafluoropropylene copolymer containing hexafluoropropylene may be used with a concentration of about 8 weight % to about 25 weight %.
(37) According to an embodiment of the present invention, a battery structure may be formed by disposing the separator between the cathode plate and the anode plate as described above. The lithium ion battery may be completed by winding or folding the battery structure, inserting the battery structure into a cylindrical battery case or a box-shaped battery case and injecting an organic electrolyte solution. The lithium ion polymer battery may be completed by stacking the battery in a bi-cell structure, impregnating the structure with organic electrolyte solution and sealing the resultant in a pouch.
(38)
(39) Hereinafter, the present invention will be explained in detail with Examples and a Comparative Example.
COMPARATIVE EXAMPLE
(40) Preparation of a Cathode Active Material
(41) A composition of a cathode active material was 0.5Li[Li.sub.1/3Mn.sub.2/3]O.sub.2-0.5LiNi.sub.1/3Co.sub.1/3Mn.sub.1/3O.sub.2, and its manufactured powder was synthesized by using the following combustion synthesis method.
(42) First, as a starting material, lithium carbonate, nickel acetate, cobalt acetate, and manganese acetate were measured to satisfy the stoichiometry above and were dissolved in 200 ml of a dilute nitric acid aqueous solution. Then, 15 ml of a citric acid aqueous solution and 15 ml of ethylene glycol were added to prepare a sol. The sol was stirred and heated on a hot plate to evaporate the water, and thus the mixture was obtained in a gel state. The gel was heated on a hot plate until it burned, and an additional heat treatment was performed after completely decomposing the gel by combustion. The additional heat treatment was performed at a temperature of 950 C. for 5 hours with a dry air flow, and thus a cathode active material powder of 0.5Li[Li.sub.1/3Mn.sub.2/3]O.sub.2-0.5LiNi.sub.1/3Co.sub.1/3Mn.sub.1/3O.sub.2 was prepared.
(43) Preparation of a Cathode
(44) The 0.5Li[Li.sub.1/3Mn.sub.2/3]O.sub.2-0.5LiNi.sub.1/3Co.sub.1/3Mn.sub.1/3O.sub.2 cathode active material powder and a carbon conducting material (carbon black) were homogenously mixed in a weight ratio of 93:3, and then, a PVDF solution was added as a binder to prepare a slurry with a weight ratio of the cathode active material to the carbon conducting material to the binder equaling 93:3:4. A cathode plate was prepared by coating the slurry on aluminum foil with a thickness of 15 m and drying.
(45) Preparation of a Battery
(46) A coin cell was prepared by additionally vacuum drying the cathode plate. Metal lithium was used as a counter electrode during the coin cell preparation, and 1.3M LiPF.sub.6 ethylene carbonate/EC)/diethyl carbonate (DEC)/ethyl methyl carbonate (EMC)=3/5/2 (a volume ratio) was used as an electrolyte.
Example 1
(47) Preparation of a Cathode Active Material
(48) A cathode active material was synthesized by using the following combustion synthesis method. First, as a starting material, lithium carbonate, nickel acetate, cobalt acetate, manganese acetate, and lanthanum(III) nitrate hexahydrate were measured to satisfy the stoichiometry and were dissolved in 200 ml of a dilute nitric acid aqueous solution. Then, 15 ml of a citric acid aqueous solution and 15 ml of ethylene glycol were added to prepare a sol. The sol was stirred and heated on a hot plate to evaporate the water, and thus the mixture was obtained in a gel state. The gel heated on the hot plate until it was burned, and an additional heat treatment was performed after completely decomposing the gel by combustion. The additional heat treatment was performed at a temperature of 950 C. for 5 hours with a dry air flow, and thus a cathode active material powder of 0.5Li[La.sub.0.01Li.sub.0.32Mn.sub.0.67]O.sub.2-0.5LiNi.sub.1/3CO.sub.1/3Mn.sub.1/3O.sub.2, including the slightest quantity of LaNiO.sub.3, LaCoO.sub.3, and LaMnO.sub.3, was prepared.
(49) Preparation of a Cathode
(50) The cathode active material powder and a carbon conducting material (carbon black) were homogenously mixed in a weight ratio of 93:3. Then, a PVDF solution was added as a binder to prepare a slurry with a weight ratio of the cathode active material to the carbon conducting material to the binder equaling 93:3:4. The cathode plate was prepared by coating the slurry on aluminum foil with a thickness of 15 m and drying.
(51) Preparation of a Battery
(52) A coin cell was prepared by additionally vacuum drying the cathode plate. Metal lithium was used as a counter electrode during the coin cell preparation, and 1.3M LiPF.sub.6 EC/DEC/EMC=3/5/2 was used as an electrolyte.
Example 2
(53) Preparation of a Cathode Active Material
(54) A cathode active material was synthesized by using the following combustion synthesis method. First, as a starting material, lithium carbonate, nickel acetate, cobalt acetate, manganese acetate, and lanthanum(III) nitrate hexahydrate were measured to satisfy the stoichiometry and were dissolved in 200 ml of a dilute nitric acid aqueous solution. Then, 15 ml of a citric acid aqueous solution and 15 ml of ethylene glycol were added to prepare a sol. The sol was stirred and heated on a hot plate to evaporate the water, and thus the mixture was obtained in a gel state. Combustion of the gel was also performed on the hot plate, and an additional heat treatment was performed after completely decomposing the gel by combustion. The additional heat treatment was performed at a temperature of 950 C. for 5 hours with a dry air flow, and thus, a cathode active material powder of 0.5Li[La.sub.0.01Li.sub.0.32Mg.sub.0.02Mn.sub.0.65]O.sub.2-0.5LiNi.sub.1/3Co.sub.1/3Mn.sub.1/3O.sub.2, including the slightest quantity of LaNiO.sub.3, LaCoO.sub.3, LaMnO.sub.3, and LaMgO.sub.3, was prepared.
(55) Preparation of a Cathode
(56) The cathode active material powder and a carbon conducting material (carbon black) were homogenously mixed in a weight ratio of 93:3, and then, a PVDF solution was added as a binder to prepare a slurry with a weight ratio of the cathode active material to the carbon conducting material to the binder equaling 93:3:4. A cathode plate was prepared by coating the slurry on an aluminum foil with a thickness of 15 m and drying.
(57) Preparation of a Battery
(58) A coin cell was prepared by additionally vacuum drying the cathode plate. Metal lithium was used as a counter electrode during the coin cell preparation, and 1.3M LiPF.sub.6 EC/DEC/EMC=3/5/2 was used as an electrolyte.
Experimental Example 1
Analysis of Crystalline Structure
(59)
(60) Peak positions of the LaNiO.sub.3, LaCoO.sub.3, LaMnO.sub.3, and LaMgO.sub.3 are as follows:
(61) LaNiO.sub.3: 32.893 (110), 33.191 (012), 47.332 (202);
(62) LaCoO.sub.3: 33.015 (110), 33.421 (104), 47.596 (024);
(63) LaMnO.sub.3: 32.412 (112), 45.668 (220), 47.280 (221); and
(64) LaMgO.sub.3: 32.608 (121), 32.702 (200), 46.740 (202).
Experimental Example 2
Analysis of Lanthanum Structure
(65) The Scanning Electron Microscopy with Energy Dispersive X-Ray Spectrometer (SEM/EDS) images of the cathode electrodes prepared by using the cathode active material obtained in Example 1 are shown in
Experimental Example 3
Evaluation of Electrical and Chemical Characteristics
(66) Electrical and chemical characteristics of the lithium batteries obtained in the Comparative Example and Examples 1 and 2 were evaluated.
(67) An evaluation of the electrical and chemical characteristics was performed at room temperature (25 C.) and at a high temperature (45 C.). For charge/discharge conditions, the batteries were charged with 0.5 C of constant current until the voltage reached 4.6 V, and constant voltage was induced and maintained until the current was dropped to 0.05 C during charge. The batteries were discharged with 0.5 C of constant current until the voltage reached 2 V during discharge.
(68) The characteristics at room temperature and a high temperature are illustrated in
(69)
(70) Therefore, improved life time/span and capacity characteristics of the cathode active materials of Examples 1 and 2 which include a perovskite-based metal oxide are confirmed.
Experimental Example 4
Evaluation of Thermal Stability
(71) Thermal stability was measured by using a differential scanning calorimeter (DSC) for the batteries of Comparative Example and Examples 1 and 2, and results are shown in Table 1.
(72) TABLE-US-00001 TABLE 1 Initial Heating Peak Temperature Temperature Heat of Reaction (J/g) Class ( C.) ( C.) Around Peak 100~350 C. Comparative 200 258.8 1332 1547 Example Example 1 225 261.1 1108 1525 Example 2 210 278.5 904.2 1568
(73) As shown in Table 1, the batteries of Examples 1 and 2 have higher initial heating temperatures and peak temperatures than the battery of Comparative Example. Heating values are not much different over the whole temperature range, but heating values of Examples 1 and 2 around the peaks are lower than that of Comparative Example. Accordingly, the cathode active materials of Examples 1 and 2 including the perovskite-based metal oxide have improved thermal stabilities.
(74) As described above, according to one or more of the above embodiments of the present invention, when preparing a cathode plate of xLi.sub.2MO.sub.3-(1-x)LiMeO.sub.2 (0x1; M, Me=metal ion) complex, which is one of the high-capacity cathode materials for the next generation, charge/discharge efficiency and life characteristics may be improved by mixing in a perovskite structured-metal oxide which may structurally stabilize the complex, and thus electrical and chemical characteristics of the lithium battery using the complex may be improved.
(75) It should be understood that the exemplary embodiments described herein should be considered in a descriptive sense only and not for purposes of limitation. Descriptions of features or aspects within each embodiment should typically be considered as available for other similar features or aspects in other embodiments.
(76) Although a few embodiments of the present invention have been shown and described, it would be appreciated by those skilled in the art that changes may be made in this embodiment without departing from the principles and spirit of the invention, the scope of which is defined in the claims and their equivalents.